AB is a diameter of a circle and C is any point on the circumference of the circle. Then the area of ` A B C` is maximum when it is isosceles the area of ` A B C` is minimum when it is isosceles the perimeter of ` A B C` is minimum when it is isosceles none of these

Options

A. the area of `DeltaABC` is maximum when it is isosceles
B. the area of `Delta ABC` is minimum whne it is isosceles
C. the perimeter of `DeltaABC` is minimum when it is isosceles
D. None of the above

Answer

A

Explanation

Clearly, `angleC = 90^(@)` as angle in semi-circle is right angled. Now, area of triangle is maximum when AC=BC.
i.e., Triangle is right angled isosceles.